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Finding the Fourth Proportional to 11,230.05, 16,824 and 9,392.97

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Solution

The fourth proportional to 11,230.05, 16,824 and 9,392.97 is: 14,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.05 : 16,824 = 9,392.97 : x
  2. Step 2: Convert to fraction form
    11,230.05/16,824 = 9,392.97/x
  3. Step 3: Cross multiply
    11,230.05x = 16,824 × 9,392.97
  4. Step 4: Simplify right side
    11,230.05x = 158,027,327.28
  5. Step 5: Solve for x
    x = 158,027,327.28/11,230.05
  6. Step 6: Final answer
    x = 14,071.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.